Properties of cyclic group | elementary properties of cyclic groups | Group Theory | Cyclic group theorem | Cyclic group operations | Prime order group is cyclic group | Every cyclic group is also an Abelian group. | Every subgroup of a cyclic group is cyclic | If G is a finite cyclic group with order n, the order of every element in G divides n | If d is a positive divisor of n, the number of elements of order d in a cyclic group of order n is Φ(d), where Φ(d) is Euler Phi function | The order of a cyclic group and the order of its generator is same.
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